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If $ x = \ln (\sec \theta + \tan \theta), $ show that $ \sec \theta = \cosh x. $
Calculus 1 / AB
Chapter 3
Differentiation Rules
Section 11
Hyperbolic Functions
Derivatives
Differentiation
Missouri State University
Oregon State University
Boston College
Lectures
03:09
In mathematics, precalculu…
31:55
In mathematics, a function…
03:04
Show that\begin{equati…
01:45
Prove the identity.$$\…
01:21
Suppose that $\cos \theta=…
00:48
Verify that it is identity…
02:12
If $x=2 \tan \theta,$ expr…
01:12
If $x=2 \sin \theta,$ expr…
00:45
If $x=4$ tan $\theta,$ exp…
00:52
If $x=4 \tan \theta,$ expr…
00:28
Prove the identity.$ \…
02:04
we know that we can rewrite this as 1/2 times e to the X plus e to the negative box. Therefore, using the pipe Iram identity of one plus tan squirt of data is equivalent to seek it. Square data. We have 1/2 times two seek it, beta. Therefore, we know that coastline H of X is the same thing as seeking data.
Numerade Educator
In mathematics, precalculus is the study of functions (as opposed to calculu…
In mathematics, a function (or map) f from a set X to a set Y is a rule whic…
Show that\begin{equation} \quad \text { a. } \cosh i \theta=\cos \theta,…
Prove the identity.$$\ln |\sec \theta+\tan \theta|=-\ln |\sec \theta-\ta…
Suppose that $\cos \theta=\frac{x}{x+1} .$ Find an expression in $x$ for $\s…
Verify that it is identity.$$\ln (\tan x)=\ln (\sin x)-\ln (\cos x)$$
If $x=2 \tan \theta,$ express $\cos (2 \theta)$ as a function of $x$
If $x=2 \sin \theta,$ express cot $\theta$ in terms of $x.$
If $x=4$ tan $\theta,$ express $\sin \theta$ in terms of $x$
If $x=4 \tan \theta,$ express $\sin \theta$ in terms of $x.$
Prove the identity.$ \cosh x - \sinh x = e^{-x} $
If $x=2 \tan \theta,$ express $\sin (2 \theta)$ as a function of $x$
